Triangle XYZ is reflected across the y -axis to form triangle X'Y'Z'. Triangle X'Y'Z' is dilated by a scale factor of 2 to form triangle X”Y”Z” .

Which statements correctly describe triangle XYZ, triangle X'Y'Z', and triangle X”Y”Z”.

Answer Choices:

ATriangle XYZ is congruent to triangle X'Y'Z'.

BTriangle X'Y'Z' is congruent to triangle X”Y”Z”.

CTriangle XYZ is similar to triangle X”Y”Z”.

DTriangle X”Y”Z” has longer side lengths than triangle XYZ.

Question

02-02-2017
Mathematics

Answered

Triangle XYZ is reflected across the y -axis to form triangle X'Y'Z'. Triangle X'Y'Z' is dilated by a scale factor of 2 to form triangle X”Y”Z” .

Which statements correctly describe triangle XYZ, triangle X'Y'Z', and triangle X”Y”Z”.

Answer Choices:

ATriangle XYZ is congruent to triangle X'Y'Z'.

BTriangle X'Y'Z' is congruent to triangle X”Y”Z”.

CTriangle XYZ is similar to triangle X”Y”Z”.

DTriangle X”Y”Z” has longer side lengths than triangle XYZ.

Verified Answer :

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Anonymous Anonymous · Answer 1 · 2019-09-20T06:38:36-04:00

⇒ΔXYZ -------Reflected----------ΔX'Y'Z'--------Dilated by a scale factor of 2 to Obtain ------------ΔX"Y"Z".

When two objects are compared ,such that one of which is reflection of other , the two Geometrical shape are Congruent.The Meaning of Congruent is Corresponding Sides as well Corresponding Angles are equal.

So, ΔXYZ≅ΔX'Y'Z'

⇒When One Image is dilation of Other, the two Geometrical shapes are Similar.

When shapes are Similar, Corresponding Sides are Proportional and Corresponding Angles are equal.

⇒ ΔXYZ ~ ΔX'Y'Z'

Remember this Property

⇒Congruent shapes are always Similar, but Similar shapes are not always Congruent.

Correct Statements are

Option A: →Triangle XYZ is congruent to triangle X'Y'Z'.

Option C: →Triangle XYZ is similar to triangle X”Y”Z”.

Option D:→Triangle X”Y”Z” has longer side lengths than triangle XYZ.

gracepacha2023 gracepacha2023 · Answer 2 · 2021-02-23T14:46:44-05:00

gracepacha2023 gracepacha2023

23-02-2021

Answer:

ACD

Step-by-step explanation:

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